Nice, clear picture. Let's start with some obvious details:
0) What version of TC are you using?
1) How are eth0's and eth1's networks configured? IP of each, netmask, etc like the output of 'ifconfig|grep addr'. The output of 'route -n' will also be helpful.
2) Aside from just loading the extension and running the app, have you done any configuration, ie configuring the dhcpd, IP interfaces, etc?